Question 1209445
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At a party each of 34 boys talked to 3 girls. How many girls were at the party 
if each girl talked to 2 boys.
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<pre>
The total number of conversation, from the boy side counting, is  34*3 = 102.


Each girl participated in 2 conversations, so, the number of girls is  102/2 = 51.    <U>ANSWER</U>
</pre>

Solved.



To make this logic more evident, let's re-formulate the problem in this equivalent form:


<pre>
    At a party, each of 34 boys brought 3 apples. 
    The apples were stored in a box.
    Each girl took two apples, and the box remained empty.
    How many girls were at the party ?
</pre>

In this formulation, everything becomes absolutely clear and transparent, 
as a well washed glass.